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Clustering trajectory data attracted considerable attention in the last few years. Most of prior work assumed that moving objects can move freely in an euclidean space and did not consider the eventual presence of an underlying road network…

Machine Learning · Computer Science 2013-10-22 Mohamed Khalil El Mahrsi , Fabrice Rossi

Many empirical networks display an inherent tendency to cluster, i.e. to form circles of connected nodes. This feature is typically measured by the clustering coefficient (CC). The CC, originally introduced for binary, undirected graphs,…

Physics and Society · Physics 2009-11-13 Giorgio Fagiolo

Graph clustering is a fundamental task which discovers communities or groups in networks. Recent studies have mostly focused on developing deep learning approaches to learn a compact graph embedding, upon which classic clustering methods…

Machine Learning · Computer Science 2019-06-18 Chun Wang , Shirui Pan , Ruiqi Hu , Guodong Long , Jing Jiang , Chengqi Zhang

Inference of new biological knowledge, e.g., prediction of protein function, from protein-protein interaction (PPI) networks has received attention in the post-genomic era. A popular strategy has been to cluster the network into…

Molecular Networks · Quantitative Biology 2012-04-11 Ryan W. Solava , Ryan P. Michaels , Tijana Milenkovic

Graph clustering, which aims to divide a graph into several homogeneous groups, is a critical area of study with applications that span various fields such as social network analysis, bioinformatics, and image segmentation. This paper…

Machine Learning · Statistics 2024-07-15 Timothé Watteau , Aubin Bonnefoy , Simon Illouz-Laurent , Joaquim Jusseau , Serge Iovleff

Graph clustering is a fundamental technique in data analysis with applications in many different fields. While there is a large body of work on clustering undirected graphs, the problem of clustering directed graphs is much less understood.…

Physics and Society · Physics 2025-01-31 James Martin , Tim Rogers , Luca Zanetti

This paper presents a graph bundling algorithm that agglomerates edges taking into account both spatial proximity as well as user-defined criteria in order to reveal patterns that were not perceivable with previous bundling techniques. Each…

Graphics · Computer Science 2015-04-13 Daniel C. Moura

A natural approach to analyze interaction data of form "what-connects-to-what-when" is to create a time-series (or rather a sequence) of graphs through temporal discretization (bandwidth selection) and spatial discretization (vertex…

Machine Learning · Statistics 2015-01-13 Nam H. Lee , Carey Priebe , Youngser Park , I-Jeng Wang , Michael Rosen

We develop new methods based on graph motifs for graph clustering, allowing more efficient detection of communities within networks. We focus on triangles within graphs, but our techniques extend to other clique motifs as well. Our…

Data Structures and Algorithms · Computer Science 2017-02-07 Charalampos Tsourakakis , Jakub Pachocki , Michael Mitzenmacher

Unsupervised node clustering (or community detection) is a classical graph learning task. In this paper, we study algorithms, which exploit the geometry of the graph to identify densely connected substructures, which form clusters or…

Social and Information Networks · Computer Science 2023-07-20 Yu Tian , Zachary Lubberts , Melanie Weber

Graph clustering is a basic technique in machine learning, and has widespread applications in different domains. While spectral techniques have been successfully applied for clustering undirected graphs, the performance of spectral…

Machine Learning · Computer Science 2019-08-07 Mihai Cucuringu , Huan Li , He Sun , Luca Zanetti

We recently proposed a new ensemble clustering algorithm for graphs (ECG) based on the concept of consensus clustering. We validated our approach by replicating a study comparing graph clustering algorithms over benchmark graphs, showing…

Machine Learning · Computer Science 2021-02-17 Valérie Poulin , François Théberge

This paper presents a model for a dynamical system where particles dominate edges in a complex network. The proposed dynamical system is then extended to an application on the problem of community detection and data clustering. In the case…

Social and Information Networks · Computer Science 2017-05-17 Paulo Roberto Urio , Zhao Liang

Relationship between agents can be conveniently represented by graphs. When these relationships have different modalities, they are better modelled by multilayer graphs where each layer is associated with one modality. Such graphs arise…

Machine Learning · Statistics 2021-03-05 Guillaume Braun , Hemant Tyagi , Christophe Biernacki

We propose a novel graph clustering method guided by additional information on the underlying structure of the clusters (or communities). The problem is formulated as the matching of a graph to a template with smaller dimension, hence…

Machine Learning · Statistics 2021-07-06 Mateus Riva , Florian Yger , Pietro Gori , Roberto M. Cesar , Isabelle Bloch

The relations, rather than the elements, constitute the structure of networks. We therefore develop a systematic approach to the analysis of networks, modelled as graphs or hypergraphs, that is based on structural properties of…

Discrete Mathematics · Computer Science 2020-12-08 Marzieh Eidi , Amirhossein Farzam , Wilmer Leal , Areejit Samal , Jürgen Jost

Graphs are used to model interactions in a variety of contexts, and there is a growing need to quickly assess the structure of such graphs. Some of the most useful graph metrics are based on triangles, such as those measuring social…

Social and Information Networks · Computer Science 2014-10-21 C. Seshadhri , Ali Pinar , Tamara G. Kolda

Graph clustering is a fundamental and challenging learning task, which is conventionally approached by grouping similar vertices based on edge structure and feature similarity.In contrast to previous methods, in this paper, we investigate…

Machine Learning · Computer Science 2024-08-13 Zhixuan Duan , Zuo Wang , Fanghui Bi

The unsupervised learning of community structure, in particular the partitioning vertices into clusters or communities, is a canonical and well-studied problem in exploratory graph analysis. However, like most graph analyses the…

Machine Learning · Computer Science 2020-07-27 Benjamin W. Priest , Alec Dunton , Geoffrey Sanders

Observational data usually comes with a multimodal nature, which means that it can be naturally represented by a multi-layer graph whose layers share the same set of vertices (users) with different edges (pairwise relationships). In this…

Machine Learning · Computer Science 2015-08-31 Xiaowen Dong , Pascal Frossard , Pierre Vandergheynst , Nikolai Nefedov